We improve some our previous theorems on the calculation of integral bordism groups of formally integrable and completely integrable PDE's, emphasizing the role played by singular solutions and weak solutions, other than smooth ones. Some applications to interesting PDE's, defined on finite dimensional manifolds, are also considered.
Geometry of PDE's. I: Integral bordism groups in PDE's / Prastaro, Agostino. - In: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. - ISSN 0022-247X. - STAMPA. - 2:319(2006), pp. 547-566. [10.1016/j.jmaa.2005.06.044]
Geometry of PDE's. I: Integral bordism groups in PDE's.
PRASTARO, Agostino
2006
Abstract
We improve some our previous theorems on the calculation of integral bordism groups of formally integrable and completely integrable PDE's, emphasizing the role played by singular solutions and weak solutions, other than smooth ones. Some applications to interesting PDE's, defined on finite dimensional manifolds, are also considered.File allegati a questo prodotto
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